Subsets and Power Set

IMPORTANT

Subsets and Power Set: Overview

This topic covers concepts such as Subset of a Set, Proper Subsets of a Set, Number of Subsets of a Set, Power Set of a Set, Superset of a Set, Subsets of Set of Real Numbers, Intervals as Subsets of R, Open and Close Intervals, etc.

Important Questions on Subsets and Power Set

EASY
IMPORTANT

In interval notation(a,b)=x|a<x<b,(a,b)represents

EASY
IMPORTANT

If A={1, 2, 3, 4, 5, 6, 7}, then the number of proper subsets of A is

MEDIUM
IMPORTANT

Two finite sets A and B have m and n elements respectively. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m is

EASY
IMPORTANT

Find the length of interval 2,14.

EASY
IMPORTANT

Find the length of interval 5,16.

EASY
IMPORTANT

Find the length of interval 3,21.

EASY
IMPORTANT

Write a superset of the following set.

A=7,8

EASY
IMPORTANT

Write a superset of the following set.

A=6,7,8

EASY
IMPORTANT

Write a superset of the following set.

A=2,3

EASY
IMPORTANT

Write a superset of the following set.

A=2,3,4

EASY
IMPORTANT

Write a superset of the following set.

A=2,3,4,5

HARD
IMPORTANT

Match the List I and List II and select the correct answer using code:

List I

(Set-builder form)

List II 

(Roster form)

List III

(Number of subsets)

A.) M=xZ, -1<x-2<1 1.) 1, 2, 3 a.) 2
B.) N=xZ, -1x-21 2.) 2 b.) 8

 

HARD
IMPORTANT

Find the number of subsets for the set given below.

M=xZ, 100x2-x-2=1

MEDIUM
IMPORTANT

If A and B be two finite sets such that the total number of subsets of A is 960 more than the total number of subsets of B, then nA-nB (where nX denotes the number of elements in set X) is equal to

EASY
IMPORTANT

If A={x|x is a prime number, 0x9}, then the number of elements of power set of A is

EASY
IMPORTANT

If A=x,y,z, B=1,2, then the total number of relations from set A to set B are

EASY
IMPORTANT

The length of an interval (-18,-24] is 

EASY
IMPORTANT

The length of an interval 14,18 is 

EASY
IMPORTANT

Which of the following is the power set of A=1,2,3